Intermediate Algebra (12th Edition)

by
Lial, Margaret L.; Hornsby, John; McGinnis, Terry

Answer

2.0592

Work Step by Step

We know that logarithms with base $e$ are natural logarithms, and $ln(x)$ can be written as $log_{e}x$.
Therefore, $ln(7.84)=log_{e}7.84$.
We know that for all positive numbers $a$ (where $a\ne1$), and all positive numbers $x$, $y=log_{a}x$ means the same as $x=a^{y}$.
Therefore, $log_{e}7.84\approx2.0592$, because $e^{2.0592}\approx7.84$.